Numbers
My
nam
e
Student
Ser
ies
C
Copyright © 2009 3P Learning. All rights reserved.
First edition printed 2009 in Australia.
A catalogue record for this book is available from 3P Learning Ltd.
ISBN 978-1-921860-24-9
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Contents
Topic 1 – Numbers to 100 (pp. 1–16)l reading and writing teen numbers ____________
l matching numerals to words _________________
l reading and writing numbers ________________
l counting in 1s ____________________________
l bigger or smaller __________________________
l location and order _________________________
l more than and less than ____________________
l ordering numbers __________________________
l 2-digit revision ____________________________
l exploring further __________________________
Topic 2 – Place value to 100 (pp. 17–25)l counting in tens and ones ___________________
l matching numbers to amounts _______________
l counting in tens and ones whole/part __________
l using place value cards _____________________
l exploring further __________________________
Topic 3 – Numbers to 1,000 (pp. 26–31)l matching numerals to words _________________
l counting in 1s ____________________________
l counting backwards ________________________
Topic 4 – Place value to 1,000 (pp. 32–39)l identifying the value of digits ________________
l whole/part model _________________________
l matching numbers to amounts _______________
l using place value cards _____________________
l location and order _________________________
Date completed
Series C – Numbers
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ContentsTopic 5 – Number sense (pp. 40–47)
l estimate _________________________________l rounding_________________________________
Topic 6 – Skip counting (pp. 48–58)l counting in 10s on decade __________________
l counting in 10s off decade __________________
l counting in 2s ____________________________
l counting in 5s ____________________________
l counting in 2s, 5s and 10s __________________
l odd and even numbers _____________________
Topic 7 – Fractions (pp. 59–83)l equal parts _______________________________
l writing fractions ___________________________
l half of a group ___________________________
l quarters _________________________________
l halves and quarters ________________________
l quarters and three quarters _________________
l exploring further __________________________
l thirds ___________________________________
l counting in halves _________________________
l counting in quarters _______________________
l counting in thirds __________________________
l counting on a number line __________________
l writing fractions ___________________________
Date completed
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Series C – Numbers
Series Author:
Rachel Flenley
Copyright ©
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Copyright © 3P Learning
NumbersSERIES TOPIC
11C
2 Write the numbers in words.
a
d
b
e
c
f
Numbers to 100 – reading and writing teen numbers
1 Match the numbers written in numerals to the number written in words.
twelve
nineteen
fourteen
fifteen
seventeen
15
19
12
17
14
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Numbers2SERIES TOPIC
1C
Numbers to 100 – matching numerals to words
You will need: a partner
1 Look, cover, write and check these number words. Write the matching numerals.
ten
twenty
thirty
forty
fifty
sixty
seventy
eighty
ninety
one hundred
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NumbersSERIES TOPIC
31C
Numbers to 100 – reading and writing numbers
To write 2-digit numbers write the tens number and then the units number. 43 is the same as 40 and 3 43 = 40 + 3 forty-three
seventy-eight
sixty-one
forty-five
thirty-three
twenty-nine
45
29
61
78
33
1 Match the numbers written in numerals to the number written in words.
Remember! Teen numbers are different
2 Write the numbers in words.
a
d
b
e
c
f
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Numbers4SERIES TOPIC
1C
Numbers to 100 – counting in 1s
1 Find a partner. Face each other. Choose a number from the list. Take turns saying the next number until you reach 100.
Try whispering the numbers, saying them in a squeaky voice or saying them like a robot.
45
76
21
39
84
76 77
2 Complete the number lines.
a
b
c
d
5 6 7
28 29 30
43 44
76 77
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NumbersSERIES TOPIC
51C
Numbers to 100 – counting in 1s
1 Climbdownthecountingladderscountingin1sandfillinthemissing numbers.
a b c
a b c
21
38
56
50
79
82
2 Climbdownthecountingladderscountingbackin1sandfillinthemissing numbers.
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Numbers6SERIES TOPIC
1C
Numbers to 100 – counting in 1s
1 Tillythecatwalkedacrossthe100square.Countinonesandfillinthe missing numbers.
1 2 3 5 6 7 8 9 10
11 12 13 14 15 17 18 19 20
21 23 24 25 26 27 28 29 30
32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49
51 52 53 54 55 56 58 59 60
61 62 63 65 66 67 68 69 70
71 72 73 74 75 76 77 79 80
81 82 83 84 85 86 87 88 90
91 92 94 95 96 97 98 99 100
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NumbersSERIES TOPIC
71C
Numbers to 100 – counting in 1s
What to do:Cover a number on the grid with a red centicube and ask your partner to name it. If they can they score a point. Swap jobs.Whoisthefirstpersontoscore 10 points? 1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
You will need: a partner a hundred grid
1 red centicube and 4 green centicubes
What to do next:Too easy? Use 1 red centicube and 4 green centicubes. Cover the mystery number with a red centicube then surround it by green centicubes. Can you guess the mystery number now?
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
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Numbers8SERIES TOPIC
1C
Numbers to 100 – counting in 1s
1 Fill in the pieces of a 100 square.
d e
f
a b c
35
51 52 46
56
54
65
31
41
1 2
11
Use a 100 square to help.
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NumbersSERIES TOPIC
91C
Numbers to 100 – bigger or smaller
1 Circle the smaller number in each pair.
2 Circle the larger number in each pair.
3 Circle the smaller number in each pair.
a 3 10
d 55 45
g 11 21
b 11 15
e 87 95
h 46 64
c 21 7
f 91 93
i 29 52
a 3 10
d 25 45
g 48 21
b 11 15
e 87 84
h 46 26
c 5 7
f 91 85
i 29 13
a b
16 22 42 39
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Numbers10SERIES TOPIC
1C
7
4668
5348
70 51
11 62
39
Numbers to 100 – location and order
You will need: coloured pencils
What to do:Thereare10playersonthisfootballfield,with5oneachteam.Oneteam is called ‘More’, the other team is called ‘Less’.If the player’s number is less than 50, colour their uniform red and white.If the player’s number is more than 50, colour their uniform green and yellow.
What to do next:Put the players’ numbers in order from the lowest number to highest.
Team More Team Less
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NumbersSERIES TOPIC
111C
Numbers to 100 – more than and less than
1 Look at the pairs of numbers below. Put a < or > to show which numberinthepairisgreater.Thefirstonehasbeendoneforyou.
2 Select two numbers to make complete the number sentence.
When two numbers are equal we can use the equals sign (=) to show this.
When two numbers are not the same, we can use symbols to show which number is bigger and which number is smaller.
Have you noticed that the point of the symbol always points towards the
smallest number?
a 3 < 10
c 21 7
e 67 95
g 11 23
i 65 14
b 11 15
d 55 45
f 76 67
h 46 58
j 27 36
a < b > c <
>43 is more than 15.
43 > 15
<24 is less than 35.
24 < 35
23 is equal to 23.23 = 23=
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Numbers12SERIES TOPIC
1C
Numbers to 100 – ordering numbers
Whencomparingthesizeofnumberslookatthetensdigitfirst.
smallest largest
3526 14
14 26 35
1 Write these numbers from smallest to largest.
a 15 34 28
smallest largest
b 67 72 49
smallest largest
c 14 93 54
smallest largest
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NumbersSERIES TOPIC
131C
Numbers to 100 – 2-digit revision
1 Continue the counting patterns.
a
b
2 What number am I?
119 36
22
24
29
32
27
85 68
82
80
77 75
72
a
c
b
d
I am less than 74. I am more than 70.I am an even number.
I am
I have a 3 in the ones place.I am less than 40 and more than 30.
I am
I am more than 22.I am less than 24.
I am
I am a 2-digit number with a 2 in the tens place.I am odd.I have a 5 in me.
I am
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Numbers14SERIES TOPIC
1C
a
c
e
b
d
Numbers to 100 – 2-digit revision
1 Useahundredgridtohelpyoufindtheluckynumbers.
I am in the top half of a 100s grid.I am odd. I am a 2-digit number and both my digits are the same. I am not 11.
I am
I am in the left half of a 100s grid.If you add my digits they equal 7.I am odd. My tens digit is 1 more than my ones digit.
I am
I am a 2-digit number.I have a 5 in me. How many different numbers could I be?
I am in the bottom half of a 100s grid.I have a 7 in me. I am even.My digits add to 9.
I am
My tens digit is double my ones digit. Both of my digits are even.My tens digit is 8.
I am
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NumbersSERIES TOPIC
151C
Numbers to 100 – 2-digit revision
1 Complete the number crossword.
Across
2.Onemorethan97.4.Onelessthan69. 6. Ten less than 59. 8. Ten more than 7. 9. The number before 19.12. The number after 29.13. Ten more than 55.
Down
1. The number after 55. 3. The number before 85. 5. Ten more than 71.7.Onelessthan92.10. Ten less than 83. 11.Onemorethan34.
1. 2. 3.
4. 5. 6. 7.
8. 9.
10. 11.
12. 13.
Use a hundred square to help you.
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Numbers16SERIES TOPIC
1C
Numbers to 100 – explore further
2 Write all of the 2-digit numbers you can make using these digits. Then order these numbers from smallest to largest.
a 3 8 2
b 6 1 7
1 Write all of the 2-digit numbers you can make using these digits.
a 2 5 7
b 1 9 4
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NumbersSERIES TOPIC
172C
Place value to 100 – counting in tens and ones
We can split 2-digit numbers in to tens and ones.
34 = 3 tens + 4 ones
34 = 30 + 4
tens ones
1 Count the tens and the units. Fill in the whole/part model.
a 13 = tens + ones
13 = +
b 34 = tens + ones
34 = +
c 89 = tens + ones
89 = +
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Numbers18SERIES TOPIC
2C
Place value to 100 – matching numbers to amounts
We can use base-10 blocks like these to make and show amounts.
ten one
1 What number is shown here? Count in tens and ones and write the amount.
a
c
e
b
d
f
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NumbersSERIES TOPIC
192C
Place value to 100 – matching numbers to amounts
1 Colour the right number of blocks to match the number.
a 45
b 63
c 28
d 91
e 57
f 40
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Numbers20SERIES TOPIC
2C
Place value to 100 – matching numbers to amounts
1 Theo thinks he coloured in too many blocks. Check his colouring matches the number and cross out any extra blocks.
a 41
b 63
c 28
d 91
e 57
f 40
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NumbersSERIES TOPIC
212C
Place value to 100 – counting in tens and ones whole/part
1 Count the tens and the ones. Fill in the whole/part model.
a
c
e
b
d
23
56
89
34
40
Tens and ones can be used showing this model.
tens ones tens ones
20 5
25
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Numbers22SERIES TOPIC
2C
a
c
d
f
b
d
e
Place value to 100 – counting in tens and ones whole/part
1 Count the tens and the ones. Fill in the whole/part model.
20 5
70 8
30 1
6
46
30
37
3
43
20
28
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NumbersSERIES TOPIC
232C
Place value to 100 – using place value cards
We can use place value cards to help us show how much each digit is worth in a number.
3 0 + 4 = 3 4
1 Combine the tens and ones to write the total.
a 2 0 + 7 =
b 1 0 + 6 =
c 4 0 + 4 =
d 9 0 + 3 =
e 7 0 + 8 =
f 5 0 + 1 =
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Numbers24SERIES TOPIC
2C
Place value to 100 – using place value cards
1 Fill in the missing numbers.
a 2 0 + = 2 3
b + 6 = 8 6
c 3 0 + = 3 5
d + 2 = 7 2
e + = 9 4
f + 1 = 6 1
g + = 4 8
h + = 5 7
i + = 1 9
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NumbersSERIES TOPIC
252C
Place value to 100 – exploring further
1 How many numbers less than 100 contain the digit 4? List them all.
2 I am thinking of a number between 20 and 50. Its tens digit is more than its units digit. What numbers could it be?
3 A 2-digit number contains only one 7 digit. What number could it be?
4 How many 2-digit numbers can you make by ordering these digit cards.
a b6 1 3 7
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Numbers26SERIES TOPIC
3C
Numbers to 1,000 – matching numerals to words
You will need: a partner
What to do:Finish writing the matching numbers. Cut out the boxes, mix them up and turn them face down. Take turns choosing 2 cards to turn over. If they match, you keep them. Who can collect the most pairs?
four hundred and ninety-six 496
three hundred and twenty-three 323
seven hundred and seven
fivehundredandthirty-five
seven hundred and seventy
two hundred
eight hundred and seven
six hundred and ninety-eight
six hundred and eighty-nine
copy
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NumbersSERIES TOPIC
273C
Numbers to 1,000 – counting in 1s
1 Complete the grid.
2 How did you complete the grid? Did you count across in 1s or did you follow other patterns?
3 Write the 3 numbers that come after me.
101 102 103 104 105 106 107 108 109 110
111 112 113 114 115 116 117 118 119 120
121 122 126 129
135 138
141 142 147 149
153 154 155 160
164 167 169
171 173 177 180
182 185
194 198
200
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Numbers28SERIES TOPIC
3C
Numbers to 1,000 – counting in 1s
1 Usethegridonpage27tohelpyoufillinthepuzzlepieces.
2 Usewhatyouknowaboutnumberpatternstofillinthesepuzzlepieces.
a
b
c
a
d
b
e
c
f
111 112
121
325
335
128
121
151
507 508
163
212 213
182
These numbers are much
bigger. How can the grid on page 27 help me with this?
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NumbersSERIES TOPIC
293C
Numbers to 1,000 – counting in 1s
1 Countforwardsinonestofillinthespacesonthenumbersnakes.
2 Countbackwardsinonestofillinthespacesonthenumbersnakes.
123
123
572
545
196
263
124
122
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Numbers30SERIES TOPIC
3C
Numbers to 1,000 – counting in 1s
1000950
850
750
650
550
450
350
250
150
50
900
800
700
600
500
400
300
200
100
038
1 a Trace over the dotted numbers on this Strong Kid Striker.
b In the boxes write a score thatmightfit.Thefirstonehas been done for you.
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NumbersSERIES TOPIC
313C
Numbers to 1,000 – counting backwards
1 ______
2 ______
3 ______
4 ______
5 ______
6 ______
7 ______
8 ______
9 ______
10 ______
11 ______
12 ______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
27 ______
______
______
______
399
398
397
4 396
5 395
6 394
7 393
392
391
390
You will need: a partner
What to do:Work with your partner to solve this problem.Qin was writing all the counting numbers backwards from 399.
She took a break after writing 27 digits. What was the last number she wrote?
What to do next:Can you work out what the 57th number would be? You may need to use another piece of paper to record the numbers as you count.
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Numbers32SERIES TOPIC
4C
Place value to 1,000 – identifying the value of digits1 What are these worth? Can you see the patterns?
a 1 one = 1
2 ones = 2
3 ones =
4 ones =
5 ones =
6 ones =
7 ones =
8 ones =
9 ones =
b 1 ten = 10
2 tens = 20
3 tens =
4 tens =
5 tens =
6 tens =
7 tens =
8 tens =
9 tens =
c 1 hundred = 100
2 hundreds = 200
3 hundreds =
4 hundreds =
5 hundreds =
6 hundreds =
7 hundreds =
8 hundreds =
9 hundreds =
2 Play this game with a partner. Take turns asking each other questions such as, “What number is 4 hundreds?” Each time you say an answer correctly, your partner will record a tick for you. Can you score 20 ticks?
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NumbersSERIES TOPIC
334C
Place value to 1,000 – whole/part model
Hundreds, tens and ones can be used showing this model. The whole, or total is shown in the top circle. The parts are shown below are grouped in hundreds, tens and ones.
100 20 5
125 whole
parts
1 Complete the whole-part model by counting the hundreds, tens and ones.
a
b
c
146
237
318
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Numbers34SERIES TOPIC
4C
Place value to 1,000 – matching numbers to amounts
1 How many? Write the number to match the amount.
We can use base-10 blocks like these to make and show amounts.
hundred ten one
a
c
e
b
d
f
316
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NumbersSERIES TOPIC
354C
Place value to 1,000 – matching numbers to amounts
1 Colour the right number of blocks to match the number.
a
286
b
425
c
198
d
295
e
331
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Numbers36SERIES TOPIC
4C
You will need: a partner base-10 blocks
What to do:Write a number with hundreds, tens and ones in each box and then cut out the boxes. Give your boxes to your partner. Make each other’s numbers using the base-10 blocks. Check each other’s work. When you think you are both right, ask your teacher to come and check. If your partnership scores 10 out of 10, we think your teacher may be happy to give you at least 3 minutes of free time. If you need to, use the free point card to help you score an extra point!
____ ____ ____ ____ ____ ____ ____ ____ ____
____ ____ ____ ____ ____ ____Free point
146 234
copy
Place value to 1,000 – matching numbers to amounts
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NumbersSERIES TOPIC
374C
Place value to 1,000 – using place value cards
We can use place value cards to help us express the value of digits in numbers.
3 0 0 + 2 0 + 6 = 3 2 6
1 Fill in the missing information.
a + 1 0 + 5 = 1 1 5
b 3 0 0 + + 2 = 3 4 2
c 1 0 0 + 2 0 + 5 =
d + 3 0 + = 2 3 4
e 1 0 0 + + = 1 2 9
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Numbers38SERIES TOPIC
4C
1 Fill in the missing information.
a 3 0 0 + + = 3 4 9
b + 1 0 + = 5 1 0
c + + 4 = 7 2 4
d + 6 0 + = 1 6 5
e + + = 8 3 6
f + + = 2 9 1
g + + = 9 5 2
Place value to 1,000 – using place value cards
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NumbersSERIES TOPIC
394C
Place value to 1,000 – location and order
1 Complete the number crossword.
2 Playthisgamewithapartner.Oneachother’spage,writeanumberbetween 0 and 99 in the grey area of each box. When you are both ready, swap papers and as quickly as you can, write the numbers thatcomebeforeandafter.Whofinishesfirst?Whohasallthenumbers correct?
1 2 3 4 5 6
7
8 9
10
Across 1. The number after 285 3. The number before 400 4. The number before 463 6. The number before 790 7. The number after 888 8. The number after 499 9. The number after 10910. The number before 1,000
Down2. The number between 849
and 8513. The number after 3445. The number before 2226. The number after 7298. The number before 520
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Numbers40SERIES TOPIC
5C
Number sense – estimate
1 Estimate how many jelly babies are in the jar. Use the clue to guide you. Circle groups of 5 to check.
We estimate when we guess what a number may be instead of counting exactly. We estimate a lot in daily life.
This is what 5 jelly babies look like.
estimate check
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NumbersSERIES TOPIC
415C
Number sense – estimate
This is what 5 children look like.
1 Estimate how many children are in the park. Circle groups of 5 to check.
estimate check
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Numbers42SERIES TOPIC
5C
Number sense – estimate
What to do:Decidewhowillgofirst.Player2,closeyoureyes.Player1,spreadoutup to 20 cubes on the table. Have something nearby to cover the cubes such as a tea towel or a maths book.
Player 1, tell Player 2 to open their eyes and look at the cubes for 5 seconds. They have to guess how many cubes they think are there. Player 1, cover the cubes after 5 seconds so they don’t have time to count.
Player 2, say your estimate. Player 1, take off the cover and count. How close was your estimate, Player 2? Remember, estimates want to be close, they don’t have to be right!
Swap jobs. Play 5 rounds each.
You will need: a partner 20 cubes a cover
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NumbersSERIES TOPIC
435C
Number sense – estimate
What to do:Cut out the number cards and the dot cards (on the next 2 pages). Spreadallthedotcardsoutontheground,faceup.Onepersonholdsthe number cards. They are the dealer.
Thedealerholdsupanumbercardtotheplayers.Thefirstpersontofindandholdupadotcardthatmatchesthenumberisthewinnerofthat round. They keep that dot card.
Playtillalldotcardsaregone.Oncethedealerknowsall3dotcardsfor each number are gone, they take the number card out of the pack. The player with the most dot cards at the end is the winner.
You will need: 2 or 3 partners scissors
copy
3 4 5
6 7 8
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Numbers44SERIES TOPIC
5C
Number sense – estimate (continued)
copy
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NumbersSERIES TOPIC
455C
Number sense – estimate (continued)
Watch out! This game is
fast and furious.
copy
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Numbers46SERIES TOPIC
5C
When we estimate we often round to a number ending in zero. When we round to the nearest 10, 5 is our middle point.
Number sense – rounding
1 Round to 10 or 0.
2 Write the numbers on the eggs so each egg is in the right basket.
10
0
45
Numbers 5 and up round up to 10.
Numbers 4 and down round down to 0.
a 6 rounds to
c 2 rounds to
e 5 rounds to
b 3 rounds to
d 8 rounds to
f 7 rounds to
1 2 3 4 5 6 7 8 9
zero ten
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NumbersSERIES TOPIC
475C
Number sense – rounding
100
5
20 30
15 25
3
6 16
27
9 19 29
13
22
14
23
a 3 rounds to
c 9 rounds to
e 16 rounds to
g 19 rounds to
i 22 rounds to
b 6 rounds to
d 13 rounds to
f 14 rounds to
h 29 rounds to
j 27 rounds to
a 33 rounds to
c 42 rounds to
b 36 rounds to
d 28 rounds to
1 Which ten would the balls roll to?
2 Round these to the nearest ten following the same rules.
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Numbers48SERIES TOPIC
6C
2 Count in tens to write in the missing numbers on the number line.
a
b
c
Skip counting – counting in 10s on decade
3 There are 10 pencils in each pot. How many pencils are there?
1 Countin10stofindhowmanycountersaltogether.
10 20 60
a
c
b
d
0 10 20 30
0 10 50
0 50 100
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NumbersSERIES TOPIC
496C
Skip counting – counting in 10s on decade
2 Howelsecouldyoucountthetoes?Howmanydifferentwayscanyoufind?
1 YouhavebeenhiredbytheFootlooseToesFactoryto help them work out how many toes they have instock.Countin10stofindthenumberoftoes.
Numberoftoes
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Numbers50SERIES TOPIC
6C
Skip counting – counting in 10s off decade
What to do:Decidewhowillgofirst.Player1,pointtoasquaresomewhereinthegrid.Player2,countin10sfromthematchingcolumninthetoplinetoworkoutwhatthenumberinthatsquarewouldbe.Ifyougetitrightyouclaimthatsquarebywritingthenumberinitwithyourcolouredpencil.Ifyougetitwrong,Player1getsachancetonamethenumberandclaimthesquare.Thefirstpersontoclaim10squareswins.
You will need: a partner 2differentcolouredpencils
1 2 3 4 5 6 7 8 9 10
12
34 38 40
59
63
75 77
81 89
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NumbersSERIES TOPIC
516C
Skip counting – counting in 2s
3 Howmanypeopleareattheparty?Circlegroupsoftwo.
1 Somenumbersaremissing.Writetheminandsaythemoutloudasyou go.
1 2 3 4 5 7 9
11 13 15 17 19
21 23 25 27 29
Start and go
2 Count in twos to write in the missing numbers on the number line.
a
b
0 2 10
0 10 20
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Numbers52SERIES TOPIC
6C
Skip counting – counting in 2s
What to do:Work with your partner to make a 2s pattern with your counters allthewayacrosstheclassroomfloor.
What to do next:a Lookatyourpattern.Howmanycountersdoyouthinkyouhave
used?Writeyourpredictionshere.
b Usestickynotesorpapersquarestolabeleachpairofcounters. Howmanycountershaveyouused?
c Canyoucontinueyourpatternevenfurther? Howfarcanyougo?
You will need: a partner lotsofcountersorblocks
sticky notes
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NumbersSERIES TOPIC
536C
Skip counting – counting in 5s
2 Help!Theseladybirdshavelosttheirspots. a Giveeachladybird5spots.
b Countin5stofindhowmanyspotsaltogether.
c If5ladybirdsflyaway,howmanyspotswillgo?
d Howmanyspotswillbeleft?
1 Count in fives to write in the missing numbers on the number line.
a
b
0 5 10
0 5 25
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Numbers54SERIES TOPIC
6C
Skip counting – counting in 2s, 5s and 10s
2 Whatdoyounotice a about the numbers that have 3 stripes?
b about the numbers that only have a green stripe?
c about the numbers that have a yellow stripe?
1 a Completethegrid.Trygoingdownthecolumns,notacross the rows.Canyoufindandfollowthepatterns?
b Now colour the chart like this. • Ifyousaythenumberwhenyoucountin2sgiveitayellowstripe. • Ifyousaythenumberwhenyoucountin5sgiveitagreenstripe. • Ifyousaythenumberwhenyoucountin10sgiveitaredstripe.
1 2 3 4 5 7 9
11 12 13 14 15 16 17 18 19
21 23 24 25 29
31 32 33 35 37 39
41 43 45 47 49
52 54 56 58 60
62 63 66 67
71 74 78 80
84 86
92 95 97 99 100
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NumbersSERIES TOPIC
556C
Skip counting – counting in 2s, 5s and 10s
2 Closeyoureyesandsaythepatternsoutloudtoapartner. Yourpartnercangiveyouclueswhenyouneedthem.
Ican
a Countbackin10sfrom100
b Countbackin5sfrom50
c Countbackin2sfrom20
a 10s
100
90
80
b 5s
50
45
40
c 2s
20
18
16
1 Continuethesebackwardspatterns.Countin
Copyright © 3P Learning
Numbers56SERIES TOPIC
6C
Skip counting – counting in 2s, 5s and 10s
What to do:Countto20.Asyousayanumber,clap.Ifthenumberisinthe2spattern,claploudly.Ifisnotinthe2spattern,clapsoftly.Thisiswhatthepatternmightlooklikeifyourecordedthepatternwithoutusingnumbersorwords.
What to do next:Whatwoulda5spatternlookandsoundlike?Tryitoutandrecord it below.
Try:Chooseadifferentpatternsuchasa3s,10sor4spattern.Don’ttellyourpartnerwhatitis.Drawitusingstarsonanotherpieceofpaperandseeiftheycanworkoutwhatitis.Sayandclapittogether.
You will need: a partner
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NumbersSERIES TOPIC
576C
Skip counting – odd and even numbers
1 Froggocanonlyjumponlilypadswithevennumbers. Colourapathhecouldtaketogetacrosstheriver.
3 Whataretheoddnumberslessthan20?Writethem.Canyoukeepgoing past 20?
Evennumberscanbeputintopairs.Oddnumberscan’t.
We say even numbers when we count the 2s pattern.
2 Isthereonlyonepath?Howmanypathscanyoufind?
21
46
10 122
16145
610
121415
16
13
7
108
54
723
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Numbers58SERIES TOPIC
6C
Skip counting – odd and even numbers
What to do:Work with your partner to solve this problem.On Main Street there are 10 houses. The even numberedhousesareononesideofthestreet.Theoddnumberedhousesare on the other sideofthestreet.Putnumbersabove or below each house to show this.
What to do next:Theevennumberedhouseshave3bedrooms.Theoddnumberedhouseshave2bedrooms.HowmanybedroomsarethereonMainStreet?
There are bedroomsonMainStreet.
You will need: a partner
1
2
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NumbersSERIES TOPIC
597C
e
f
g
Fractions – equal parts
2 Dividetheseshapesintoequalparts.
Isthereonlyonewaytodothis?Compareyourshapeswithsomeoneelseatyourtable.Haveyoudividedthemthesameway?Isoneofyou wrong or can you both be right?
1 theshapesthathavebeendividedintoequal parts.
a
b
c
d
3 Youandyourpartnerhavebeengiventheseteddies.Dividethegroupinto2equalpartssoyoueachgetafairshare.
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Numbers60SERIES TOPIC
7C
Fractions – writing fractions
1 Shadeoneequalpartofeachshapeandwritethefraction.
Whenwedivideawholeinto2equalparts,wecalleachpartahalf.
Thisisonewholeshape. Halfhasbeenshaded.
Wecanwritehalfas12
NumberofshadedpartsNumberofequalparts
a
c
b
d
Numberofshadedparts
Numberofequalparts
Numberofshadedparts
Numberofequalparts 2
Numberofshadedparts
Numberofequalparts 4
Numberofshadedparts
Numberofequalparts
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NumbersSERIES TOPIC
617C
Fractions – half of a group
1 Tickallthegroupsthathavebeendividedinto2equalparts. Crossthemifthepartsarenotequal.
2 Drawagroupofhatsinthebox. Puthalfononesideofthelineandhalfontheother.Arethepartsequal?Ifso,tickthebox.
3 Drawagroupofstarsinthebox.Makethetwopartsunequal.Doyoutickorcrossthebox?
Whenwedivideagroupinto2equalparts,wecalleachshareorpartahalf.Whentheyareequal,eachshareisfair.
12
12
a
c
b
d
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Numbers62SERIES TOPIC
7C
Fractions – half of a group
What to do:a Startwith2counters.Dividethe2countersinto2equalgroups.
How many counters are in each group? Draw them.
12 of2is
b Nowtake4counters.Dividethecountersinto2equalgroups. How many counters are in each group? Draw them.
12 of4is
c Nowtake6counters.Dividethecountersinto2equalgroups. How many counters are in each group? Draw them.
12 of6is
d Nowtake8counters.Dividethecountersinto2equalgroups. How many counters are in each group? Draw them.
12 of8is
e Canyouseethepattern?Continueitonanotherpieceofpaper. Howhighcanyouandyourpartnergo?
What to do next:Canyoumake2equalgroupsoutof3,5,or7counters?Whathappens?
You will need: a partner counters
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NumbersSERIES TOPIC
637C
Fractions – quarters
1 Canyouthinkof3placesortimesyouhearthewordquarter? Discuss this with the people at your table.
2 Shadeonequarterofeachshapeandwritethefraction.
3 Aretheseshapescutintoquarters?WriteYorN.
Whenwedivideashapeorgroupinto4equalparts,wecalleachpart a quarter. We can write this as:
NumberofshadedpartsNumberofequalparts
14
a b c
a
c
b
d
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Numbers64SERIES TOPIC
7C
Fractions – quarters
1 Fourfriendsarehavingaparty.Lookatthefoodonthetable. Shareitequallyoutontotheplatessothateachfriendhasone quarter.Drawwhateachfriendwillhave.
Copyright © 3P Learning
NumbersSERIES TOPIC
657C
What to do:Canyouandyourpartnerfind4differentwaystodividethesesquaresintoquarters?Drawthelinesyouwoulduse.
You will need: a partner
Fractions – quarters
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Numbers66SERIES TOPIC
7C
Fractions – halves and quarters
What to do:
What to do next:Whathappensifyoufoldacircleintohalf,thenhalfagain,thenhalfagain.Howmanyequalpartsdoyouhave?Howwouldyouwritethatasafraction?
You will need: scissors 4colouredpapercircles
a Leave one circle whole.
b Foldonecircle inhalf.
c Foldanothercircleinhalfandtheninhalfagain.
d Cutoutthelabelsontherightandmatch them with the circles above.
e Nowmixthemupandaskafriend to put them back correctly.
copy
1 onequarter
14 onehalf
12 one whole
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NumbersSERIES TOPIC
677C
Fractions – halves and quarters
What to do:FarmerJoehas12chickensinhisbarn.Halfofhischickensareblackandhalfarewhite.Theyallliketheirownspeciallayingspot.HereisonewayFarmerJoecouldsetthemup.
a HowmanyotherwayscouldFarmerJoesetthemup?Colourthechickensineachbarnonpage68toshowthedifferentoptions.Rememberhalfareblackandhalfarewhite.Youmayneed2copiesofpage68.
b Howwillyouknowyouhavecolouredhalfeachtime?
c Howwillyouknowyouhavefoundalltheways?
You will need: pencils
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Numbers68SERIES TOPIC
7C
Option 1
Option 2
Option 3
Option 4
Fractions – halves and quarters (continued)
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NumbersSERIES TOPIC
697C
What to do:DrawpicturestohelpyousolvetheseGrandPrixproblems.
a Thisishalfoftheprize. Howmanypiecesofgold areinthewholeprize?
b Thisishalfoftheflagsattherace. Howmanyflagsare at the race?
c Thisisonequarterofthecars Howmanycarsare on the track. on the whole track?
d Thisisonequarterofthepitcrew. Howmanypeoplearein the pit crew altogether?
14
14
14
14
You will need: apartnerorjustyourself
Fractions – halves and quarters
12
12
12
12
14
14
14
14
Copyright © 3P Learning
Numbers70SERIES TOPIC
7C
a
d
b
e
c
f
a 24of12= b 1
2of12=
Fractions – halves and quarters
Somefractionsareofequalsize.Wecalltheseequivalentfractions.
12
12
14
14
14
14
24
24 is the same as 12
This can also be written as 24=1
2
1 thefractionequivalentto12
.
2 Calculate.
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NumbersSERIES TOPIC
717C
Fractions – quarters and three quarters
Thispizzahasbeensplitinto4equalparts. Eachequalpartiscalledaquarter.
Onepieceofpizzahasbeeneaten.Thereare3outof thetotal4piecesleft.Thiscanbecalledthreequarters.
This can also be written as 34
.
1 Circletheshapethatisthreequarters(34)shaded.
2 Matchthefractiontothepicture.
14
24
34
44
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Numbers72SERIES TOPIC
7C
a
c
b
d
Fractions – quarters and three quarters
Towritefractionsyouneedtoknowhowmanypartsmakeupthewholeandhowmanyareshaded.
4partsmakethewholepizza.3partsareshaded.
partsshadedparts that make the whole
34
1 Writethefractionforeachpicture.
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NumbersSERIES TOPIC
737C
There are 8 oranges in total. They make up the whole.
whole
34 The 8 oranges are split in to
4equalgroups.Eachgroupis onequarterofthewhole.
14 of8=2 3
4 of8=6
Fractions – quarters and three quarters
1 Circletodividetheobjectsinto4equalgroups.Completethenumbersentences.
a
14of4= 3
4of4=
b
14of12=
34of12=
c
14of20=
34of20=
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Numbers74SERIES TOPIC
7C
Fractions – quarters and three quarters
14of12
14of20
14of8
34of8
34of4
34of12
5
9
2
3
6
3
1 Matchthefractiontotheanswer.
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NumbersSERIES TOPIC
757C
Fractions – exploring further
What to do:Canyoucountinhalves?It’seasierthanyoumaythink! Look at the pattern below.
Westartwithhalfacircle.
That is 12.
Weaddanotherhalfcircle. That is 1 whole.
Weaddanotherhalfacircle. Wehave1wholeand1half.
We write this as 112.
Weaddanotherhalfacircle. Now we have 2 wholes.
Work with your partner to make this pattern with your own circles. Label each set. Can you continue the pattern? How high can you go?
You will need: a partner colouredpapercirclescutinhalf
blank paper or your maths book
12
1
2
112
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Numbers76SERIES TOPIC
7C
Fractions – thirds
Thiscakehasbeencutinto3equalparts. Eachpartiscalledonethird.
Thiscakehasbeencutinto3equalparts.Eachpartiscallonethird. This can be written as 1
3.
1 Circlethefractionsthathaveonethird(13)shaded.
2 Matchthefractiontothepicture.
13
23
33
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NumbersSERIES TOPIC
777C
There are 6 cakes in total. They make up the whole.
whole
13 The6cakesaresplitinto3equalgroups.
Eachgroupisonethirdofthewhole.
13 of6=2
Fractions – thirds
1 Circletodividetheobjectsinto3equalgroups. Complete the number sentence.
a
13of12=
b
13of18=
c
13of15=
Hint:Usecounterstohelpyoudividetheobjectsintogroups.
The groups must be equal.
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Numbers78SERIES TOPIC
7C
Fractions – thirds
1 Circle the image that shows 13of9.
2 Circle the image that shows 13of12.
3 Complete the number sentences.
a 13of12=
c 13of9=
e 13of18=
b 13of6=
d 13of15=
f 13of3=
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NumbersSERIES TOPIC
797C
Fractions – counting in halves
12
12
12
12
12
12
12
12
12
12
1 1 1 1 1
We can use the number line to count in halves.
0 12 1 1 1
2 2 2 12 3 3 1
2 4 4 12 5
1 How many pieces are there?
a
b
c
d
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Numbers80SERIES TOPIC
7C
Fractions – counting in quarters
14
14
14
14
14
14
14
14
14
14
14
14
1 1 1
Wecanusethenumberlinetocountinquarters.
1 How many pieces are there?
a
b
c
d
e
0 14
24
34 1 11
4 124 13
4 2 214 22
4 234 3
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NumbersSERIES TOPIC
817C
Fractions – counting in thirds
13
13
13
13
13
13
13
13
13
1 1 1
Wecanusethenumberlinetocountinthirds.
1 How many pieces are there?
a
b
c
d
0 13
23 1 1 1
3 1 23 2 2 1
3 2 23 3
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Numbers82SERIES TOPIC
7C
Fractions – counting on a number line
1 Countonthenumberlineandfillinthemissingnumbers.
a 0 1
2 1 112 2 21
2 512 6 7 8 10
b 0 1
2 1 112 21
2 3 312 7 8 10
c
0 14
24
34 1 11
4 124 2 21
4 224 3 31
4 4
d 0 1
424
34 1 12
4 134 2 21
4 3 334 4 5
e
0 13 1 12
3 2 213 22
3
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NumbersSERIES TOPIC
837C
Fractions – writing fractions
1 Matchthepicturetothefraction.
23
34
14
13 1
2 Writethefractionfortheshape.
a
c
b
d